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## 9.6 Double Integrals

by: Kalia Notetaker

8

0

1

# 9.6 Double Integrals MATH 1326

Kalia Notetaker
UTD

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These notes cover Double Integrals with a few examples included. Next to each example I added some helpful hints as to what's going on.
COURSE
Applied Calculus II
PROF.
David Rice
TYPE
Class Notes
PAGES
1
WORDS
CONCEPTS
Math, Calculus, Calc 2, calculus 2
KARMA
Free

## Popular in Math

This 1 page Class Notes was uploaded by Kalia Notetaker on Thursday March 10, 2016. The Class Notes belongs to MATH 1326 at University of Texas at Dallas taught by David Rice in Summer 2015. Since its upload, it has received 8 views. For similar materials see Applied Calculus II in Math at University of Texas at Dallas.

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Date Created: 03/10/16
9.6 DOUBLE INTEGRAL IIaIx9sioIFFaYa.uaria.eitxxiInoiiaiiiFyittieYon.anil.2xijdy.iI4talE@4tcHHxY.ca ) = . My ' 4×2 )= 5¥ " = * * Mph ? kiyldydx t.se#ox=(l5*2.i5gIj= 1¥ use thisorder 2. ' = . o = f flx2yH×oy=x÷y1f3dy #)y3 @y÷ ) dy =/ 9¥ , 9¥ ft l3÷ , Fubini 's Theorem : )dyox= Ksyldxdy { fifty fi { ) ,Dnoybjeg , Find Hm (×5+12×5 Th 㱺 31×15 111<-2 +4g ) dxdg where , : li 1,5( ) dxdy * to × * ' ytyy TakeIntegral ofeqn wire. =/ (3×2 't4×5+4 ) /?dy * Don't and * , y xy forgetthey Integral dy =/ ? 34 }y2t4#34H3y+4Hy 't ) dy * x bounds * ' Plugin =/ ,(48g 't400g)dy * This is what aboveT canal. Take wire.to now * ' integral y =( 16g +200g /,2=(164+700 (12 ).(16+200) = 712 * in bounds and get one number * Plug 6×5+12×2 Integral over variableregions , ' a EE÷¥Douyb ,k* sees:* , tee 㱺gpjxEx Find )d×oy I± ' Hnky where R㱺 y±x<y2 ; yez =/ ? /P ) = ×¥ /Yd'' * Hy dxdy Integrate wives.o × firs* = * in x bounds * t.HI.ly?t)dy plug . * New * =f⾨5 ¥ ) dy integral = - = -284 . . = * Integrate and in bounds * (y÷ In ) # ) ⾨g) ¥ plug Until Next time D . Kain Hud

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